# Single-brane cosmological solutions with a stable compact extra dimension

## Abstract

We consider 5-dimensional cosmological solutions of a single brane. The correct cosmology on the brane, i.e., governed by the standard 4-dimensional Friedmann equation, and stable compactification of the extra dimension is guaranteed by the existence of a nonvanishing T{sub 5}{sup 5} which is proportional to the 4-dimensional trace of the energy-momentum tensor. We show that this component of the energy-momentum tensor arises from the back reaction of the dilaton coupling to the brane. The same positive features are exhibited in solutions found in the presence of nonvanishing cosmological constants both on the brane ({lambda}{sub br}) and in the bulk ({lambda}{sub B}). Moreover, the restoration of the Friedmann equation, with the correct sign, takes place for both signs of {lambda}{sub B} so long as the sign of {lambda}{sub br} is opposite {lambda}{sub B} in order to cancel the energy densities of the two cosmological constants. We further extend our single-brane thin-wall solution to allow a brane with finite thickness. (c) 2000 The American Physical Society.

- Authors:

- Theoretical Physics Institute, School of Physics and Astronomy, University of Minnesota, Minneapolis, Minnesota 55455 (United States)
- Theoretical Physics, Department of Physics, Oxford University, 1 Keble Road, Oxford, OX1 3NP, (United Kingdom)

- Publication Date:

- OSTI Identifier:
- 20216451

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review. D, Particles Fields

- Additional Journal Information:
- Journal Volume: 61; Journal Issue: 10; Other Information: PBD: 15 May 2000; Journal ID: ISSN 0556-2821

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; COSMOLOGICAL MODELS; EXTENDED PARTICLE MODEL; ENERGY-MOMENTUM TENSOR; HUBBLE EFFECT; THEORETICAL DATA; MANY-DIMENSIONAL CALCULATIONS; STRING MODELS; SMOOTH MANIFOLDS

### Citation Formats

```
Kanti, Panagiota, Kogan, Ian I., Olive, Keith A., and Pospelov, Maxim.
```*Single-brane cosmological solutions with a stable compact extra dimension*. United States: N. p., 2000.
Web. doi:10.1103/PhysRevD.61.106004.

```
Kanti, Panagiota, Kogan, Ian I., Olive, Keith A., & Pospelov, Maxim.
```*Single-brane cosmological solutions with a stable compact extra dimension*. United States. doi:10.1103/PhysRevD.61.106004.

```
Kanti, Panagiota, Kogan, Ian I., Olive, Keith A., and Pospelov, Maxim. Mon .
"Single-brane cosmological solutions with a stable compact extra dimension". United States. doi:10.1103/PhysRevD.61.106004.
```

```
@article{osti_20216451,
```

title = {Single-brane cosmological solutions with a stable compact extra dimension},

author = {Kanti, Panagiota and Kogan, Ian I. and Olive, Keith A. and Pospelov, Maxim},

abstractNote = {We consider 5-dimensional cosmological solutions of a single brane. The correct cosmology on the brane, i.e., governed by the standard 4-dimensional Friedmann equation, and stable compactification of the extra dimension is guaranteed by the existence of a nonvanishing T{sub 5}{sup 5} which is proportional to the 4-dimensional trace of the energy-momentum tensor. We show that this component of the energy-momentum tensor arises from the back reaction of the dilaton coupling to the brane. The same positive features are exhibited in solutions found in the presence of nonvanishing cosmological constants both on the brane ({lambda}{sub br}) and in the bulk ({lambda}{sub B}). Moreover, the restoration of the Friedmann equation, with the correct sign, takes place for both signs of {lambda}{sub B} so long as the sign of {lambda}{sub br} is opposite {lambda}{sub B} in order to cancel the energy densities of the two cosmological constants. We further extend our single-brane thin-wall solution to allow a brane with finite thickness. (c) 2000 The American Physical Society.},

doi = {10.1103/PhysRevD.61.106004},

journal = {Physical Review. D, Particles Fields},

issn = {0556-2821},

number = 10,

volume = 61,

place = {United States},

year = {2000},

month = {5}

}